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CATEGORIES:Algebra seminar
SUMMARY:A new family of symplectic singularities - Paul Le
vy (Lancaster University)
DTSTART:20220330T133000Z
DTEND:20220330T143000Z
UID:TALK4774AT
URL:/talk/index/4774
DESCRIPTION:Symplectic singularities were defined by Beauville
more than 20 years ago. The main classes of known
examples are symplectic quotient singularities ℂ<
sup>2*n*/&Gamma\; (where &Gamma\; is
a finite subgroup of the symplectic group) and (no
rmalisations of) nilpotent orbit closures. Until v
ery recently\, it was suspected that these exhaust
ed all possible isolated symplectic singularities.
\n \nIn this talk\, I will explain three markedly
different constructions of a completely new family
of isolated symplectic singularities &chi\;_{<
em>n} (*n* &ge\; 5): as partial r
esolutions of quotient singularities for the dihed
ral group of order 2*n*\; as deformations a
rising via the corresponding Calogero-Moser space\
; in the universal cover of the nilpotent cone of
gl_{n}. The special case *n=5 had earlier appeared in relation to a particu
lar Slodowy slice in type E*_{8}.\n
LOCATION:Lecture Theatre B\, Watson Building
CONTACT:Gareth Tracey
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